Q: What are the factor combinations of the number 108,737,767?

 A:
Positive:   1 x 10873776723 x 472772959 x 1843013227 x 479021353 x 3080391357 x 801315221 x 208278119 x 13393
Negative: -1 x -108737767-23 x -4727729-59 x -1843013-227 x -479021-353 x -308039-1357 x -80131-5221 x -20827-8119 x -13393


How do I find the factor combinations of the number 108,737,767?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 108,737,767, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 108,737,767
-1 -108,737,767

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 108,737,767.

Example:
1 x 108,737,767 = 108,737,767
and
-1 x -108,737,767 = 108,737,767
Notice both answers equal 108,737,767

With that explanation out of the way, let's continue. Next, we take the number 108,737,767 and divide it by 2:

108,737,767 ÷ 2 = 54,368,883.5

If the quotient is a whole number, then 2 and 54,368,883.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 108,737,767
-1 -108,737,767

Now, we try dividing 108,737,767 by 3:

108,737,767 ÷ 3 = 36,245,922.3333

If the quotient is a whole number, then 3 and 36,245,922.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 108,737,767
-1 -108,737,767

Let's try dividing by 4:

108,737,767 ÷ 4 = 27,184,441.75

If the quotient is a whole number, then 4 and 27,184,441.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 108,737,767
-1 108,737,767
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

123592273531,3575,2218,11913,39320,82780,131308,039479,0211,843,0134,727,729108,737,767
-1-23-59-227-353-1,357-5,221-8,119-13,393-20,827-80,131-308,039-479,021-1,843,013-4,727,729-108,737,767

More Examples

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